1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikolay [14]
2 years ago
15

The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will

the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Mathematics
1 answer:
lakkis [162]2 years ago
5 0

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

You might be interested in
Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
2 years ago
How do you find each measure for #7?
Lunna [17]

Step-by-step explanation:

From this figure TUW+WUV=TUV ; (5x+3)+(10x-5)=17x-16 so 15x-2=17x-16 ;14=2x therefore x=7

then substitute x on it.

TUW=5x+3=5(7)+3=35+3=38

WUV=10x-5=10(7)-5=70-5=65

TUV=17x-16=17(7)-16=119-16=103

8 0
2 years ago
-2.3(4.5-3 1/2)<br> What is the answer
LUCKY_DIMON [66]

The computation shows that the value of the expression is 2.3.

<h3>How to illustrate the information?</h3>

It should be noted that the information given is illustrated as:

2.3(4.5-3 1/2)

This will be solved thus:

2.3(4.5-3 1/2)

2.3 ( 4.5 - 3.5)

= 2.3 (1)

= 2.3 × 1

= 2.3

Therefore, the value is 2.3

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

7 0
1 year ago
Find the value of x in each triangle. Please help me &lt;33
frozen [14]

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

6 0
2 years ago
Given that
MissTica

Answer:

-2                                        

Step-by-step explanation:

Hey there!!

if we evaluate the expression it will look like :

3x + 14 = 8

and if we solve it:

3x+14=8

Step 1: Subtract 14 from both sides.

3x+14−14=8−14

3x=−6

Step 2: Divide both sides by 3.

3x/3 = -6/3

x= −2

4 0
3 years ago
Other questions:
  • What is the answer to 2(14/2R - 15+2R - 3/2+7R)-4
    7·2 answers
  • Why is 6 1/2 equal to the square root of 6
    10·2 answers
  • Please help! due in next 10min!?!
    14·2 answers
  • A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is n
    15·1 answer
  • Consider function fbelow.
    11·1 answer
  • An animal shelter has 910 of its crates filled with animals.
    9·1 answer
  • Find a polynomial equation that has zeros at x = −2, x = 0, x = 3 and x = 5
    8·1 answer
  • 1 hour is equal to how many seconds
    9·2 answers
  • If a new phone screen is 19.68 cm2 larger than your current phone screen, with the dimensions 6.1 cm and 10.8 cm, then the new p
    13·1 answer
  • Help I please I will give crown if correct 10points!!!<br><br> Don’t skipppp pleaseee
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!